Atkin-Lehner |
3+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
33135g |
Isogeny class |
Conductor |
33135 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
-3405913515 = -1 · 38 · 5 · 473 |
Discriminant |
Eigenvalues |
-2 3+ 5- -2 -2 -5 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1300,-17832] |
[a1,a2,a3,a4,a6] |
Generators |
[157:1903:1] |
Generators of the group modulo torsion |
j |
-2342039552/32805 |
j-invariant |
L |
1.6790735021126 |
L(r)(E,1)/r! |
Ω |
0.39718614301789 |
Real period |
R |
1.0568555396687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99405k1 33135d1 |
Quadratic twists by: -3 -47 |